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A house has an electric heating system that consists of a
Chapter 5, Problem 103P(choose chapter or problem)
Problem 103P
A house has an electric heating system that consists of a 300-W fan and an electric resistance heating element placed in a duct. Air flows steadily through the duct at a rate of 0.6 kg/s and experiences a temperature rise of 7°C. The rate of heat loss from the air in the duct is estimated to be 300 W. Determine the power rating of the electric resistance heating element.
Questions & Answers
QUESTION:
Problem 103P
A house has an electric heating system that consists of a 300-W fan and an electric resistance heating element placed in a duct. Air flows steadily through the duct at a rate of 0.6 kg/s and experiences a temperature rise of 7°C. The rate of heat loss from the air in the duct is estimated to be 300 W. Determine the power rating of the electric resistance heating element.
ANSWER:
Step by step solution Step 1 of 5The work input to the fan is given as:Negative sign indicates that work is done on the system .The mass flow rate of air in the duct is:The rise in temperature of the air in the duct is:The amount of heat lost to the surroundings is: